Factors of 472
2026-02-28 08:46 Diff
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Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 472, how they are used in real life, and tips to learn them quickly.

What are the Factors of 472?

The numbers that divide 472 evenly are known as factors of 472.

A factor of 472 is a number that divides the number without remainder.

The factors of 472 are 1, 2, 4, 8, 59, 118, 236, and 472.

Negative factors of 472: -1, -2, -4, -8, -59, -118, -236, and -472.

Prime factors of 472: 2 and 59.

Prime factorization of 472: 2³ × 59.

The sum of factors of 472: 1 + 2 + 4+ 8 + 59 + 118 + 236 + 472 = 900.

How to Find Factors of 472?

Factors can be found using different methods. Mentioned below are some commonly used methods:

  • Finding factors using multiplication
     
  • Finding factors using division method
     
  • Prime factors and Prime factorization

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 472. Identifying the numbers which are multiplied to get the number 472 is the multiplication method.

Step 1: Multiply 472 by 1, 472 × 1 = 472.

Step 2: Check for other numbers that give 472 after multiplying

2 × 236 = 472

4 × 118 = 472

8 × 59 = 472

Therefore, the positive factor pairs of 472 are: (1, 472), (2, 236), (4, 118), (8, 59).

All these factor pairs result in 472.

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 472 by 1, 472 ÷ 1 = 472.

Step 2: Continue dividing 472 by the numbers until the remainder becomes 0.

472 ÷ 1 = 472

472 ÷ 2 = 236

472 ÷ 4 = 118

472 ÷ 8 = 59

Therefore, the factors of 472 are: 1, 2, 4, 8, 59, 118, 236, 472.

Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 472 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

472 ÷ 2 = 236

236 ÷ 2 = 118

118 ÷ 2 = 59

59 ÷ 59 = 1

The prime factors of 472 are 2 and 59.

The prime factorization of 472 is: 2³ × 59.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 472 is divided by 2 to get 236.

Step 2: Now divide 236 by 2 to get 118.

Step 3: Then divide 118 by 2 to get 59.

Here, 59 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 472 is: 2³ × 59.

Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.

Both positive and negative factors constitute factor pairs.

Positive factor pairs of 472: (1, 472), (2, 236), (4, 118), (8, 59).

Negative factor pairs of 472: (-1, -472), (-2, -236), (-4, -118), (-8, -59).

Common Mistakes and How to Avoid Them in Factors of 472

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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Problem 1

A gardener has 472 seeds and wants to plant them in rows of 8. How many rows will there be?

Okay, lets begin

There will be 59 rows.

Explanation

To determine the number of rows, divide the total seeds by the number of seeds per row.

472/8 = 59

Well explained 👍

Problem 2

A farmer has a rectangular field with a length of 59 meters and a total area of 472 square meters. What is the width?

Okay, lets begin

8 meters.

Explanation

To find the width of the field, use the formula,

Area = length × width

472 = 59 × width

To find the value of width, shift 59 to the left side.

472/59 = width

Width = 8.

Well explained 👍

Problem 3

A bakery made 472 pastries and wants to pack them equally into 4 boxes. How many pastries will each box contain?

Okay, lets begin

Each box will contain 118 pastries.

Explanation

To find the pastries in each box, divide the total pastries by the number of boxes.

472/4 = 118

Well explained 👍

Problem 4

A classroom has 236 students, and they are divided into groups. If each group has 2 students, how many groups are there?

Okay, lets begin

There are 118 groups.

Explanation

Dividing the students by the number of students per group, we get the number of groups.

236/2 = 118

Well explained 👍

Problem 5

A library has 472 books and wants to distribute them equally on 2 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves will have 236 books.

Explanation

Divide the total books by the number of shelves.

472/2 = 236

Well explained 👍

FAQs on Factors of 472

1.What are the factors of 472?

1, 2, 4, 8, 59, 118, 236, 472 are the factors of 472.

2.Mention the prime factors of 472.

The prime factors of 472 are 2³ × 59.

3.Is 472 a multiple of 8?

4.Mention the factor pairs of 472?

(1, 472), (2, 236), (4, 118), (8, 59) are the factor pairs of 472.

5.What is the square of 472?

Important Glossaries for Factor of 472

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 472 are 1, 2, 4, 8, 59, 118, 236, and 472.
  • Prime factors: The factors which are prime numbers. For example, 2 and 59 are prime factors of 472.
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 472 are (1, 472), (2, 236), etc.
  • Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give a specific number.
  • Division method: A technique to find factors by dividing the number by whole numbers until no remainder is left.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.